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Open book embeddings of closed non-orientable 3-manifolds
Ghanwat A.
,
Suhas Jaykumar Pandit
,
Selvakumar A.
Published in Rocky Mountain Mathematics Consortium
2019
DOI:
10.1216/RMJ-2019-49-4-1143
Volume: 49
Issue: 4
Pages: 1143 - 1168
Abstract
In this note, we discuss open book embeddings of closed non-orientable 3-manifolds in 5-manifolds. We also show that a huge class of closed orientable 3-manifolds, namely the orientation double covers of certain closed non-orientable 3-manifolds, open book embeds in the 5-sphere S5. Finally, we give a new proof of a well-known theorem which states that every closed non-orientable 3-manifold smoothly embeds in S5. © 2019 Rocky Mountain Mathematics Consortium.
Topics:
Orientation (vector space)
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Journal Details
Authors (1)
About the journal
Journal
Rocky Mountain Journal of Mathematics
Publisher
Rocky Mountain Mathematics Consortium
ISSN
00357596
Open Access
No
Authors (1)
Suhas Jaykumar Pandit
Department of Mathematics
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